What is an ordered pair?

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What is an ordered pair?

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Answer 1 · 2015-06-26T20:45:33

An ordered pair is two items listed in order, typically written in the form $(a, b)$ $(a, b)$ .

Explanation:

An ordered pair is a tuple with two elements, typically written $(a, b)$ $(a, b)$ . The ordering matters, so in general $(a, b) \neq (b, a)$ $(a, b) != (b, a)$ .

More formally, you can say that an ordered pair of elements of a set $A$ $A$ is a point or member of $A \times A$ $A xx A$ .

Alternatively you can say that it is a mapping $f : {0, 1} \to A$ $f:{0, 1} -> A$ . If you define it in this way, the pair is effectively $(f (0), f (1))$ $(f(0), f(1))$

Answer 2 · 2015-06-26T20:53:09

It is a pair of things (two things) in a particular order. So the ordered pair $(3, 2)$ $(3,2)$ is not the same as the ordered pair $(2, 3)$ $(2,3)$

Explanation:

The ordered pair $(3, 2)$ $(3,2)$ is not the same as the ordered pair $(2, 3)$ $(2,3)$ . Although they have the same 2 numbers, these pairs are arranged differently. In an ordered pair, order matters.

(Note: ${5, 7}$ ${5,7}$ and ${7, 5}$ ${7,5}$ are the same unordered pair. Notice the different notation used for ordered versus unordered.)

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What is an ordered pair?

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